3 Tumblr ll7:28 PM@ 1 0 36%Done3 of 3*22 The position of a particle moving along the x axis dependson the time according to the equation x = ct² – bi², where x is inmeters and t in seconds. What are the units of (a) constant c and (b)constant b? Let their numerical values be 3.0 and 2.0, respectively.(c) At what time does the particle reach its maximum positive x po-sition? From t = 0.0 s to t = 4.0 s, (d) what distance does the parti-cle move and (e) what is its displacement? Find its velocity at times(f) 1.0 s, (g) 2.0 s, (h) 3.0 s, and (i) 4.0 s. Find its acceleration attimes (j) 1.0 s, (k) 2.0 s (1) 3.0 s, and (m) 4.0 s.!!

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College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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3 Tumblr ll
7:28 PM
@ 1 0 36%
Done
3 of 3
*22 The position of a particle moving along the x axis depends
on the time according to the equation x = ct² – bi², where x is in
meters and t in seconds. What are the units of (a) constant c and (b)
constant b? Let their numerical values be 3.0 and 2.0, respectively.
(c) At what time does the particle reach its maximum positive x po-
sition? From t = 0.0 s to t = 4.0 s, (d) what distance does the parti-
cle move and (e) what is its displacement? Find its velocity at times
(f) 1.0 s, (g) 2.0 s, (h) 3.0 s, and (i) 4.0 s. Find its acceleration at
times (j) 1.0 s, (k) 2.0 s (1) 3.0 s, and (m) 4.0 s.
!!

Expert Solution

Step 1

Since you have posted a question with multiple sub-parts, we will solve the first three sub- parts for you. To get remaining sub-part solved please repost the complete question and mention the sub-parts to be solved.

Step 2

Consider the equation of the position of the particle.

Since the x in the equation represent the distance along x-direction. Therefore, the unit of x will be “m” and the unit of time t is “s”. The terms on the right-hand sign of the equation are in subtraction. Thus, the unit of each term is independent of each other and it is equivalent to “m”.

Step 3

(a)

Consider the first term and equate it to the unit of x that is to “m”, simultaneously substitute the unit of time for time.